The solution to 1+3(-2/3) is -1

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1+3(-2/3)

Solution

1 + 3 (- \frac{2}{3})

- 1

Solution steps

1 + 3 (- \frac{2}{3})

Follow the PEMDAS order of operations

Multiply and divide (left to right)

3 (- \frac{2}{3}) : - 2

3 (- \frac{2}{3})

Apply rule

a \cdot (- b) = - a \cdot b

3 (- \frac{2}{3}) = - 3 \cdot \frac{2}{3}

Convert element to fraction:

3 = \frac{3}{1}

= - \frac{3}{1} \cdot \frac{2}{3}

Cross-cancel common factor:

3

= - \frac{2}{1}

Divide the numbers:

\frac{2}{1} = 2

= - 2

= 1 - 2

Add and subtract (left to right)

1 - 2 : - 1

1 - 2

1 - 2 = - 1

= - 1

= - 1

- 3^{2} + 5 \cdot (- 3) + 9

4 - 1 - (3 - 1) + 3

9 - [7 - 5 (7 + 2)]

2 (5) + 7

3 (1)^{2} - 8 (1) + 3